In the UK National Lottery, players purchase tickets comprising their choices of six different numbers between 1 and 59. During the draw, six balls are randomly selected without replacement from a set numbered from 1 to 59. A prize is awarded to any player who matches at least two of the six drawn numbers. We identify 27 tickets that guarantee a prize, regardless of which of the 45,057,474 possible draws occurs. Moreover, we determine that 27 is the optimal number of tickets required, as achieving the same guarantee with 26 tickets is not possible.

翻译：在英国国家彩票中，玩家购买彩票时需自行选择1至59之间的六个不同号码。开奖时，从编号1至59的球组中随机抽取六个球，且不放回。任何与六个抽中号码中至少两个匹配的玩家可获得奖金。我们确定了27张彩票，无论45,057,474种可能开奖结果中哪一种发生，都能保证获奖。此外，我们判定27是所需的最佳彩票数量，因为用26张彩票无法实现同样的保证。